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Both are immersed because that is how Ilia II decided to baptize them.

Ilia II, recognised as the Patriarch of the Georgian Orthodox Church, carried out the baptisms of 780 babies at the Trinity Cathedral last Friday ...

The baptism sees each baby's head dipped in holy water, before being spun 180 degrees so its feet can be dipped immediately after. That process is repeated three times.

Ilia II is one of the country's most powerful public figures, and came up with the routine himself.1

Baptism is normally performed by the three-fold immersion of a person in the name of the Holy Trinity; in other words, a person is immersed "in the name of the Father, and of the Son, and of the Holy Spirit," with one immersion at the mention of each person of the Holy Trinity.2

So, the only remaining question is if Ilia attached any significance to immersing both the head and feet or if he is just trying to be quirky for the sake of being strange.
– James SheweyFeb 16 '17 at 19:25

@JamesShewey I haven't found his response/statement if he ever made one
– deppermFeb 16 '17 at 19:29